Luke and Owen have some purple staplers and some brown staplers. The number of brown staplers Luke has is equal to the number of purple staplers Owen has. ¹₅ of Luke's staplers are purple and ⁴₅ of Owen's staplers are brown. There are a total of 40 purple staplers. Find the total number of staplers they have.

Luke		Owen		Total
Purple	Brown	Purple	Brown
	1x4	1x4
1x1	4x1	1x4	4x4
1 u	4 u	4 u	16 u	25 u

The number of Luke's brown staplers and Owen's purple staplers is the same.

The number of Luke's brown staplers is repeated. The number of Owen's purple staplers is repeated.  Make the number of Luke's brown staplers and Owen's purple staplers the same.  LCM of 4 and 5 is 4.

Number of purple staplers
= 1 u + 4 u
= 5 u

5 u = 40

1 u = 40 ÷ 5 = 8

Total number of staplers
= 1 u + 4 u + 4 u + 16 u
= 25 u
= 25 x 8
= 200

Answer(s): 200